The ratio of the volumes of two similar solids is proportional to the cube of the diameter - or of any other linear measurement. For example, at twice the diameter, you would have 8 times the volume.
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If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
4 to 1.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
No, the ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges. The volume of a solid object is proportional to the cube of its linear dimensions, not the square root.